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Finding the Fourth Proportional to 5,686.94, 7,850.11 and 4,206.78

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Solution

The fourth proportional to 5,686.94, 7,850.11 and 4,206.78 is: 5,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.94 : 7,850.11 = 4,206.78 : x
  2. Step 2: Convert to fraction form
    5,686.94/7,850.11 = 4,206.78/x
  3. Step 3: Cross multiply
    5,686.94x = 7,850.11 × 4,206.78
  4. Step 4: Simplify right side
    5,686.94x = 33,023,685.75
  5. Step 5: Solve for x
    x = 33,023,685.75/5,686.94
  6. Step 6: Final answer
    x = 5,806.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.